Abstract
The paper is focused on the numerical simulation of the compressible gas flow through the porous media and fences. We work with the the non-stationary viscous compressible fluid flow, described by the RANS equations. The flow through the porous media is characterized by the loss of momentum. It is possible to use various methods for the simulation of such flow. Here we present the approach with the modification of the source term, and other possibilities using the modification of the face flux. The original approach was presented recently by the authors analysing the modification of the Riemann problem with one-side initial condition, complemented with the Darcy’s law and added inertial loss. Another aim of this paper is the evaluation and estimate of the forces acting on the diffusible barrier (fence) with given parameters. The presented examples were obtained with the own-developed code for the solution of the compressible gas flow.
Highlights
The physical theory of the compressible fluid motion is based on the principles of conservation laws of mass, momentum, and energy
We focus on the flow through the porous media and throug the diffusible barriers
This paper is focused on the viscous compressible flow, with the focus on the porous media and the diffusible barrier
Summary
The physical theory of the compressible fluid motion is based on the principles of conservation laws of mass, momentum, and energy. We choose the well-known finite volume method to discretize the analytical problem, represented by the system of the equations in generalized (integral) form. To apply this method we split the area of the interest into the elements, and we construct a piecewise constant solution in time. We present other more simple method for the construction of the flux through the face representing the diffusible barrier This method was implemented into own computational code, and used in the numerical examples. We consider the conservation laws for viscous compressible turbulent flow of ideal gas with the zero heat sources in a domain Ω ∈ IRN, and time interval (0, T ), with T > 0.
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